Question 1

Which of the following ordered pairs represents a point that is 3 units to the left of the origin and 2 units down in the rectangular coordinate system?

Accepted Answer

$$(-3, -2)$$

Question 2

Given the equation $$y = |x + 1|$$, which of the following is a solution to the equation?

Accepted Answer

$$(1, 2)$$

Question 3

What is the x-intercept of the graph of the equation $$y = 2x + 4$$?

Accepted Answer

$$(-2, 0)$$

Question 4

A graphing utility is set to the viewing rectangle $$[-100, 100, 50] by$$ $$[-100, 100, 10]. $$What does the '50' in the x settings represent?

Accepted Answer

The distance between consecutive tick marks on the x-axis

Question 5

If a graph crosses the y-axis at $$(0, -3)$$, what is the y-intercept?

Accepted Answer

$$-3$$

Question 6

Which of the following best describes the origin in the rectangular coordinate system?

Accepted Answer

The point $$(0, 0)$$ where the x-axis and y-axis intersect

Question 7

Given the equation $$d = 4n + 5$$, which models the percentage $$d of $$marriages ending in divorce after $$n$$ years, what is $$d$$ when $$n = 10$$?

Accepted Answer

$$d = 45$$

Question 8

Which of the following statements is TRUE about the point $$(4, -2)$$?

Accepted Answer

It is 4 units to the right of the origin and 2 units down

Question 9

If the graph of a function passes through the point $$(-3, 0)$$, what does this tell you about the function?

Accepted Answer

The function has an x-intercept at $$x = -3$$

Question 10

A student enters the equation $$y = |x + 1|$$ into a graphing utility with the standard viewing rectangle $$[-10, 10, 1] by$$ $$[-10, 10, 1]. $$What is the minimum value of $$y$$ visible in this window?

Accepted Answer

$$y = 0$$

Question 11

Which of the following ordered pairs is NOT a solution to $$y = |x + 1|$$?

Accepted Answer

$$(1, 1)$$

Question 12

A real-world scenario: The equation $$d = 4n + 5$$ models the percentage of marriages ending in divorce after $$n$$ years for a certain group. If after 20 years, the percentage is above 80%, which of the following best explains why this model might not be accurate for all values of $$n$$?

Accepted Answer

Because the percentage cannot exceed 100%

Question 13

Which of the following best describes the process of plotting the point $$(-2, 4)$$?

Accepted Answer

Move 2 units left and 4 units up from the origin

Question 14

Which of the following is the correct definition of an x-intercept?

Accepted Answer

The x-coordinate of a point where the graph crosses the x-axis

Question 15

If you want to see more detail near the origin using a graphing utility, which change to the viewing rectangle would be most effective?

Accepted Answer

Decrease the minimum and maximum values for both axes

Graphs and Graphing Utilities in Precalculus

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